Stability and instability results for standing waves of quasi-linear Schrödinger equations
Stability and instability results for standing waves of quasi-linear Schrödinger equations
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DOI：
10.1088/0951-7715/23/6/006
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发表时间：
2010-06
期刊：
影响因子：
1.7
通讯作者：
M. Colin;L. Jeanjean;M. Squassina
中科院分区：
文献类型：
--
作者：
M. Colin;L. Jeanjean;M. Squassina
研究了等离子体物理中超流膜理论中的一类准线性薛定谔方程。使用规范变换和推导过程，我们解决了一些规律性的假设下，柯西问题。然后，我们利用变分方法研究了使某些能量最小的驻波的存在性、轨道稳定性和不稳定性。
We study a class of quasi-linear Schrödinger equations arising in the theory of superfluid film in plasma physics. Using gauge transforms and a derivation process we solve, under some regularity assumptions, the Cauchy problem. Then, by means of variational methods, we study the existence, the orbital stability and instability of standing waves which minimize some associated energy.